Trigonometry Examples

$\log_{2} (x) = y$

Step 1

Find the asymptotes.

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Step 1.1

Switch sides.

$y = \log_{2} (x)$

Step 1.2

Set the argument of the logarithm equal to zero.

$x = 0$

Step 1.3

The vertical asymptote occurs at $x = 0$ .

Vertical Asymptote: $x = 0$

Step 2

Find the point at $x = 1$ .

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Step 2.1

Replace the variable $x$ with $1$ in the expression.

$f (1) = y$

Step 2.2

The final answer is $y$ .

$y$

Step 2.3

Convert $y$ to decimal.

$y = y$

Step 3

The log function can be graphed using the vertical asymptote at $x = 0$ and the points $(1, y), (2, y), (3, y)$ .

Vertical Asymptote: $x = 0$

$\begin{array}{c} x & y \\ 1 & y \\ 2 & y \\ 3 & y \end{array}$

Step 4